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97356126150 = 2335217231811019
BaseRepresentation
bin101101010101011100…
…0001001011111000110
3100022021220201122011000
41122222320021133012
53043341132014100
6112420315354130
710014401263323
oct1325270113706
9308256648130
1097356126150
1138319aa4598
1216a50452946
139246b4794a
1449d7c7bb4a
1527ec08e900
hex16aae097c6

97356126150 has 384 divisors, whose sum is σ = 298330905600. Its totient is φ = 23220172800.

The previous prime is 97356126143. The next prime is 97356126163. The reversal of 97356126150 is 5162165379.

97356126150 is a `hidden beast` number, since 9 + 73 + 561 + 2 + 6 + 15 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 97356126096 and 97356126105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 95540341 + ... + 95541359.

It is an arithmetic number, because the mean of its divisors is an integer number (776903400).

Almost surely, 297356126150 is an apocalyptic number.

97356126150 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 97356126150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149165452800).

97356126150 is an abundant number, since it is smaller than the sum of its proper divisors (200974779450).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

97356126150 is a wasteful number, since it uses less digits than its factorization.

97356126150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1261 (or 1250 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The spelling of 97356126150 in words is "ninety-seven billion, three hundred fifty-six million, one hundred twenty-six thousand, one hundred fifty".